Electromagnetic Induction
A circular coil of radius $$2.00cm$$ has $$50$$ turns. A uniform magnetic field $$B=0.200T$$ exists in the space in a direction parallel to the axis of the loop. The coil is now rotated about a diameter through an angle of $${60.0}^{o}$$. The operation takes $$0.100s$$. (a) Find the average emf induced in the coil. (b) If the coil is a closed one (With the two ends joined together) and has a resistance of $$4.00\Omega$$. Calculate the net charge crossing a cross-section of the wire of the coil.
Electromagnetic Induction
For two coils with number of turns $$500$$ and $$200$$ each of length $$1\ m$$ and cross-sectional area $$4\times 10^{-4}m^{2}$$, the mutual inductance is:
Electromagnetic Induction
The sum and the difference of self inductances of two coils are $$13\ H$$ and $$5\ H$$ respectively. The maximum mutual inductances of two coil is
Electromagnetic Induction
Two coils are placed close to each other. The mutual inductance of the pair of coils depend upon :
Electromagnetic Induction
A system $$S$$ consists of two coils $$A$$ and $$B$$. The coil $$A$$ have a steady current $$I$$ while the coils $$B$$ is suspended near by as shown in figure. Now the system is heated as to raise the temperature of two coils steadily, then :
Electromagnetic Induction
An inductor of inductance $$100\ mH$$ is connected in series with a resistance, a variable capacitance and an AC source of frequency $$2.0\ kHz$$; The value of the capacitance so that maximum current may be drawn into the circuit.
Electromagnetic Induction
Determine the mutual inductance of a doughnut coil and an infinite straight wire passing along its axis. The coil has a rectangular cross-section, its inside radius is equal to $$a$$ and the outside one, to $$b$$. The length of the doughnut's cross-sectional side parallel to the wire is equal to $$h$$. The coil has $$N$$ turns. The system is located in a uniform magnetic with permeability $$\mu$$.
Electromagnetic Induction
There are two stationary loops with mutual inductance $$L_{12}$$. The current in one of the loops starts to be varied as $$I_{1} = \alpha t$$, where $$\alpha$$ is a constant, $$t$$ is time. Find the time dependence $$I_{2}(t)$$ of the current in the other loop whose inductance is $$L_{2}$$ and resistance $$R$$.
Electromagnetic Induction
Two identical coils, each of inductance $$L$$, are interconnected (a) in series, (b) in parallel. Assuming the mutual inductance of the coils to be negligible, find the inductance of the system in both cases.
Electromagnetic Induction
What is the mutual inductance of a two-loop system as shown with centre separation 1:
